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Finding the Fourth Proportional to 1,020.30, 1,529.43 and 650.37

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Solution

The fourth proportional to 1,020.30, 1,529.43 and 650.37 is: 974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.30 : 1,529.43 = 650.37 : x
  2. Step 2: Convert to fraction form
    1,020.30/1,529.43 = 650.37/x
  3. Step 3: Cross multiply
    1,020.30x = 1,529.43 × 650.37
  4. Step 4: Simplify right side
    1,020.30x = 994,695.39
  5. Step 5: Solve for x
    x = 994,695.39/1,020.30
  6. Step 6: Final answer
    x = 974.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.